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Creative Commons license: AttributionNoncommercialShare Alike 3.0 United States
Movie Files  MPEG4  Ogg Video  Real Media 

Lec 1: The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves. 
103.9 MB

203.1 MB


Lec 1: The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves. 
77.7 MB


Lec 10: Continuation: Complex Characteristic Roots; Undamped and Damped Oscillations. 
98.3 MB

192.0 MB


Lec 10: Continuation: Complex Characteristic Roots; Undamped and Damped Oscillations. 
73.8 MB


Lec 11: Theory of General Secondorder Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians. 
105.9 MB

209.1 MB


Lec 11: Theory of General Secondorder Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians. 
80.4 MB


Lec 12: Continuation: General Theory for Inhomogeneous ODE's. Stability Criteria for the Constantcoefficient ODE's. 
97.8 MB

191.8 MB


Lec 12: Continuation: General Theory for Inhomogeneous ODE's. Stability Criteria for the Constantcoefficient ODE's. 
73.7 MB


Lec 13: Finding Particular Sto Inhomogeneous ODE's: Operator and Solution Formulas Involving Ixponentials. 
93.5 MB

196.9 MB


Lec 13: Finding Particular Sto Inhomogeneous ODE's: Operator and Solution Formulas Involving Ixponentials. 
76.2 MB


Lec 14: Interpretation of the Exceptional Case: Resonance. 
102.0 MB

184.9 MB


Lec 14: Interpretation of the Exceptional Case: Resonance. 
70.6 MB


Lec 15: Introduction to Fourier Series; Basic Formulas for Period 2(pi). 
112.5 MB

204.7 MB


Lec 15: Introduction to Fourier Series; Basic Formulas for Period 2(pi). 
78.8 MB


Lec 16: Continuation: More General Periods; Even and Odd Functions; Periodic Extension. 
99.9 MB

204.3 MB


Lec 16: Continuation: More General Periods; Even and Odd Functions; Periodic Extension. 
78.6 MB


Lec 17: Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds. 
94.8 MB

188.9 MB


Lec 17: Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds. 
72.7 MB


Lec 19: Introduction to the Laplace Transform; Basic Formulas. 
90.5 MB

196.0 MB


Lec 19: Introduction to the Laplace Transform; Basic Formulas. 
75.9 MB


Lec 2: Euler's Numerical Method for y'=f(x,y) and its Generalizations. 
120.1 MB

211.6 MB


Lec 2: Euler's Numerical Method for y'=f(x,y) and its Generalizations. 
80.7 MB


Lec 20: Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's. 
98.1 MB

208.5 MB


Lec 20: Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's. 
81.2 MB


Lec 21: Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems. 
81.8 MB

180.7 MB


Lec 21: Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems. 
70.5 MB


Lec 22: Using Laplace Transform to Solve ODE's with Discontinuous Inputs. 
83.4 MB

179.6 MB


Lec 22: Using Laplace Transform to Solve ODE's with Discontinuous Inputs. 
70.1 MB


Lec 23: Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions. 
93.1 MB

185.4 MB


Lec 23: Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions. 
71.4 MB


Lec 24: Introduction to Firstorder Systems of ODE's; Solution by Elimination, Geometric Interpretation of a System. 
89.8 MB

192.8 MB


Lec 24: Introduction to Firstorder Systems of ODE's; Solution by Elimination, Geometric Interpretation of a System. 
74.7 MB


Lec 25: Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case). 
96.4 MB

200.2 MB


Lec 25: Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case). 
78.1 MB


Lec 26: Continuation: Repeated Real Eigenvalues, Complex Eigenvalues. 
97.5 MB

191.1 MB


Lec 26: Continuation: Repeated Real Eigenvalues, Complex Eigenvalues. 
74.1 MB


Lec 27: Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients. 
110.4 MB

208.0 MB


Lec 27: Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients. 
80.1 MB


Lec 28: Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters. 
104.8 MB

194.2 MB


Lec 28: Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters. 
74.5 MB


Lec 29: Matrix Exponentials; Application to Solving Systems. 
97.2 MB

200.6 MB


Lec 29: Matrix Exponentials; Application to Solving Systems. 
77.8 MB


Lec 3: Solving Firstorder Linear ODE's; Steadystate and Transient Solutions. 
108.3 MB

207.5 MB


Lec 3: Solving Firstorder Linear ODE's; Steadystate and Transient Solutions. 
80.2 MB


Lec 30: Decoupling Linear Systems with Constant Coefficients. 
111.7 MB

194.5 MB


Lec 30: Decoupling Linear Systems with Constant Coefficients. 
74.8 MB


Lec 31: Nonlinear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Nonlinear Pendulum. 
94.8 MB

189.8 MB


Lec 31: Nonlinear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Nonlinear Pendulum. 
75.2 MB


Lec 32: Limit Cycles: Existence and Nonexistence Criteria. 
94.6 MB

187.7 MB


Lec 32: Limit Cycles: Existence and Nonexistence Criteria. 
72.9 MB


Lec 33: Relation Between Nonlinear Systems and Firstorder ODE's; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle. 
91.4 MB

203.5 MB


Lec 33: Relation Between Nonlinear Systems and Firstorder ODE's; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle. 
79.8 MB


Lec 4: Firstorder Substitution Methods: Bernouilli and Homogeneous ODE's. 
108.9 MB

208.4 MB


Lec 4: Firstorder Substitution Methods: Bernouilli and Homogeneous ODE's. 
79.8 MB


Lec 5: Firstorder Autonomous ODE's: Qualitative Methods, Applications. 
98.5 MB

189.9 MB


Lec 5: Firstorder Autonomous ODE's: Qualitative Methods, Applications. 
72.8 MB


Lec 6: Complex Numbers and Complex Exponentials. 
95.7 MB

188.2 MB


Lec 6: Complex Numbers and Complex Exponentials. 
72.2 MB


Lec 7: Firstorder Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods. 
89.6 MB

170.0 MB


Lec 7: Firstorder Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods. 
65.4 MB


Lec 8: Continuation; Applications to Temperature, Mixing, RCcircuit, Decay, and Growth Models. 
111.5 MB

210.3 MB


Lec 8: Continuation; Applications to Temperature, Mixing, RCcircuit, Decay, and Growth Models. 
80.3 MB


Lec 9: Solving Secondorder Linear ODE's with Constant Coefficients: The Three Cases. 
108.8 MB

208.0 MB


Lec 9: Solving Secondorder Linear ODE's with Constant Coefficients: The Three Cases. 
79.5 MB

Image Files  Thumbnail  Animated GIF 

Lec 1: The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves. 
5.6 KB

437.3 KB

Lec 10: Continuation: Complex Characteristic Roots; Undamped and Damped Oscillations. 
5.9 KB

433.3 KB

Lec 11: Theory of General Secondorder Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians. 
5.9 KB

430.0 KB

Lec 12: Continuation: General Theory for Inhomogeneous ODE's. Stability Criteria for the Constantcoefficient ODE's. 
4.7 KB

436.2 KB

Lec 13: Finding Particular Sto Inhomogeneous ODE's: Operator and Solution Formulas Involving Ixponentials. 
5.8 KB

425.7 KB

Lec 14: Interpretation of the Exceptional Case: Resonance. 
6.9 KB

440.0 KB

Lec 15: Introduction to Fourier Series; Basic Formulas for Period 2(pi). 
5.8 KB

436.5 KB

Lec 16: Continuation: More General Periods; Even and Odd Functions; Periodic Extension. 
5.7 KB

433.5 KB

Lec 17: Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds. 
5.1 KB

442.5 KB

Lec 19: Introduction to the Laplace Transform; Basic Formulas. 
5.2 KB

421.2 KB

Lec 2: Euler's Numerical Method for y'=f(x,y) and its Generalizations. 
6.8 KB

437.2 KB

Lec 20: Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's. 
5.7 KB

429.3 KB

Lec 21: Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems. 
6.5 KB

424.9 KB

Lec 22: Using Laplace Transform to Solve ODE's with Discontinuous Inputs. 
5.6 KB

425.9 KB

Lec 23: Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions. 
5.3 KB

433.8 KB

Lec 24: Introduction to Firstorder Systems of ODE's; Solution by Elimination, Geometric Interpretation of a System. 
5.3 KB

428.9 KB

Lec 25: Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case). 
5.9 KB

434.6 KB

Lec 26: Continuation: Repeated Real Eigenvalues, Complex Eigenvalues. 
6.2 KB

433.7 KB

Lec 27: Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients. 
5.4 KB

427.9 KB

Lec 28: Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters. 
5.5 KB

431.4 KB

Lec 29: Matrix Exponentials; Application to Solving Systems. 
6.1 KB

439.6 KB

Lec 3: Solving Firstorder Linear ODE's; Steadystate and Transient Solutions. 
4.7 KB

440.6 KB

Lec 30: Decoupling Linear Systems with Constant Coefficients. 
5.4 KB

432.3 KB

Lec 31: Nonlinear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Nonlinear Pendulum. 
6.0 KB

443.2 KB

Lec 32: Limit Cycles: Existence and Nonexistence Criteria. 
5.2 KB

442.9 KB

Lec 33: Relation Between Nonlinear Systems and Firstorder ODE's; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle. 
4.7 KB

433.7 KB

Lec 4: Firstorder Substitution Methods: Bernouilli and Homogeneous ODE's. 
6.2 KB

434.4 KB

Lec 5: Firstorder Autonomous ODE's: Qualitative Methods, Applications. 
6.3 KB

443.1 KB

Lec 6: Complex Numbers and Complex Exponentials. 
5.5 KB

414.0 KB

Lec 7: Firstorder Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods. 
7.0 KB

434.6 KB

Lec 8: Continuation; Applications to Temperature, Mixing, RCcircuit, Decay, and Growth Models. 
5.5 KB

430.2 KB

Lec 9: Solving Secondorder Linear ODE's with Constant Coefficients: The Three Cases. 
5.5 KB

433.0 KB

Information  Format  Size 

MIT18.03S06_files.xml  Metadata  [file] 
MIT18.03S06_meta.xml  Metadata  2.1 KB 
MIT18.03S06_reviews.xml  Metadata  657.0 B 
Reviewer:
YajurTheJ 
Subject:
A Word of Thanks!
I found the video lectures extremely useful in understanding about differential equations. These videos helps me improving my DE skills to a much higher level, studied along with rest of the material in MIT OCW. Great thing!!!